Towards a viable control strategy for a model describing the dynamics of corruption

Hassania Abou-nouh; Mohammed El Khomssi

doi:10.53391/mmnsa.1400075

EN

Towards a viable control strategy for a model describing the dynamics of corruption

Abstract

This paper explores the use of viability theory in the examination of corruption dynamics, using a susceptible-infected-recovered (SIR) model. In order to promote transparency, good governance, and sustainable economic growth, it is crucial to develop effective strategies for controlling corruption in society. Viability theory provides a framework for analyzing the long-term feasibility of different control policies by defining the set of constraints that define acceptable behavior for a given system. We use this framework to study the impact of different anti-corruption measures on the spread of corruption in a population. Our results show that a combination of measures targeting both the susceptible and corrupted populations can lead to significant reductions in corruption levels over time. We also discuss the challenges involved in applying viability theory to the study of corruption dynamics, including the need for reliable data and the limitations of simple models such as the SIR model. Our results highlight the potential of the viability theory as a valuable tool for promoting transparency, good governance, and sustainable development and suggest that further research in this area is needed to refine and improve the methods used. Our research offers a proof-of-concept for applying viability theory to manage the dynamics of corruption, paving the way for potential future research directions.

Keywords

Control Theory, Viability Theory, SIR Model, Corruption Dynamic

References

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Details

Primary Language

English

Subjects

Dynamical Systems in Applications

Journal Section

Research Article

Authors

Hassania Abou-nouh ^*
0000-0002-0404-4671
Morocco

Mohammed El Khomssi
0009-0007-7250-811X
Morocco

Publication Date

March 31, 2025

Submission Date

December 7, 2023

Acceptance Date

August 2, 2024

Published in Issue

Year 2025 Volume: 5 Number: 1

DOI

https://doi.org/10.53391/mmnsa.1400075

IZ

https://izlik.org/JA63YK96BB

APA

Abou-nouh, H., & El Khomssi, M. (2025). Towards a viable control strategy for a model describing the dynamics of corruption. Mathematical Modelling and Numerical Simulation With Applications, 5(1), 1-17. https://doi.org/10.53391/mmnsa.1400075

AMA

1.Abou-nouh H, El Khomssi M. Towards a viable control strategy for a model describing the dynamics of corruption. MMNSA. 2025;5(1):1-17. doi:10.53391/mmnsa.1400075

Chicago

Abou-nouh, Hassania, and Mohammed El Khomssi. 2025. “Towards a Viable Control Strategy for a Model Describing the Dynamics of Corruption”. Mathematical Modelling and Numerical Simulation With Applications 5 (1): 1-17. https://doi.org/10.53391/mmnsa.1400075.

EndNote

Abou-nouh H, El Khomssi M (March 1, 2025) Towards a viable control strategy for a model describing the dynamics of corruption. Mathematical Modelling and Numerical Simulation with Applications 5 1 1–17.

IEEE

[1]H. Abou-nouh and M. El Khomssi, “Towards a viable control strategy for a model describing the dynamics of corruption”, MMNSA, vol. 5, no. 1, pp. 1–17, Mar. 2025, doi: 10.53391/mmnsa.1400075.

ISNAD

Abou-nouh, Hassania - El Khomssi, Mohammed. “Towards a Viable Control Strategy for a Model Describing the Dynamics of Corruption”. Mathematical Modelling and Numerical Simulation with Applications 5/1 (March 1, 2025): 1-17. https://doi.org/10.53391/mmnsa.1400075.

JAMA

1.Abou-nouh H, El Khomssi M. Towards a viable control strategy for a model describing the dynamics of corruption. MMNSA. 2025;5:1–17.

MLA

Abou-nouh, Hassania, and Mohammed El Khomssi. “Towards a Viable Control Strategy for a Model Describing the Dynamics of Corruption”. Mathematical Modelling and Numerical Simulation With Applications, vol. 5, no. 1, Mar. 2025, pp. 1-17, doi:10.53391/mmnsa.1400075.

Vancouver

1.Hassania Abou-nouh, Mohammed El Khomssi. Towards a viable control strategy for a model describing the dynamics of corruption. MMNSA. 2025 Mar. 1;5(1):1-17. doi:10.53391/mmnsa.1400075

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